The volume of a sphere is decreasing at a constant rate of 4011 cubic inches per second. At the instant when the radius of the sphere is 7 inches, what is the rate of change of the surface area of the sphere? The volume of a sphere can be found with the equation V = ;r³ and the surface area can be found with S your answer to three decimal places (if necessary). = 4rr2. Round %3D

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
icon
Related questions
Question
The volume of a sphere is decreasing at a constant rate of 4011 cubic inches per
second. At the instant when the radius of the sphere is 7 inches, what is the rate of
change of the surface area of the sphere? The volume of a sphere can be found with
the equation V =
Tr and the surface area can be found with S = 4r2. Round
your answer to three decimal places (if necessary).
Transcribed Image Text:The volume of a sphere is decreasing at a constant rate of 4011 cubic inches per second. At the instant when the radius of the sphere is 7 inches, what is the rate of change of the surface area of the sphere? The volume of a sphere can be found with the equation V = Tr and the surface area can be found with S = 4r2. Round your answer to three decimal places (if necessary).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Cylinders and Cones
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning